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Soa #32

Please break the solution into more steps to help me understand.

A large pool of adults earning their first driverís license includes 50% low-risk drivers,
30% moderate-risk drivers, and 20% high-risk drivers. Because these drivers have no
prior driving record, an insurance company considers each driver to be randomly selected
from the pool.
This month, the insurance company writes 4 new policies for adults earning their first
driverís license.
What is the probability that these 4 will contain at least two more high-risk drivers than
low-risk drivers?
(A) 0.006
(B) 0.012
(C) 0.018
(D) 0.049
(E) 0.073